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2 years ago

I need know what is x .

Mathematics

2 answers:

lys-0071 [83]2 years ago

7 0

Answer:

21 x +6 =90⁰( Alternate exterior angles)

=) 21x =84

=) x =84/21 = 4

irina [24]2 years ago

3 0

Answer:

x is 4

Step-by-step explanation:

21x+6 = 90

21x=84

x=4

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The sum of the first n consecutive even numbers can be found using S = n2 + n, where n ≥ 2.

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The following are the choices on this question:
A.6
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Check this out:
S=n² + n
S= 12² + 12
(you can get the square of 12 by multiplying 12 by itself: 12 × 12)
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2 years ago

There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of

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The bearing needed to navigate from island B to island C is approximately 38.213º.

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The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

$AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta$ (1)

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$AC$ - The distance from A to C, measured in miles.

$AB$ - The distance from A to B, measured in miles.

$BC$ - The distance from B to C, measured in miles.

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Then, we clear the bearing angle within the equation:

$AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta$

$\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}$

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$\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]$

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